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Finding the Fourth Proportional to 460,827, 635,932.14 and 256,865.76

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Solution

The fourth proportional to 460,827, 635,932.14 and 256,865.76 is: 354,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,827 : 635,932.14 = 256,865.76 : x
  2. Step 2: Convert to fraction form
    460,827/635,932.14 = 256,865.76/x
  3. Step 3: Cross multiply
    460,827x = 635,932.14 × 256,865.76
  4. Step 4: Simplify right side
    460,827x = 163,349,192,449.53
  5. Step 5: Solve for x
    x = 163,349,192,449.53/460,827
  6. Step 6: Final answer
    x = 354,469.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.